For what value of x?
(1/2)^-5 × ( 1/2)^-3 = (1/2)^ 3x+1 ?
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Step-by-step explanation:
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Answer:
x = -3
Step-by-step explanation:
(1/2)^-5 × (1/2)^-3 = (1/2)^ 3x+1
L.H.S.:-
(1/2)^-5 × (1/2)^-3
(1/2)^-5+(-3) [ a^m × a^n = a^m+n]
(1/2)^-5-3
(1/2)^-8
putting the value of L.H.S. in equation
(1/2)^-8 = (1/2)^ 3x+1
[ base are same , so we can directly equate the powers ]
-8 = 3x+1
-8-1 = 3x
-9 = 3x
-9/3 =x
-3 = x
x = -3